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In a rational number twice the numerator is two more than the denominator.If three is added to the numerator as well as the denominator,the new fraction is

2/3.Find the original number



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Let a be the numerator and b be the denominator.
#  2a = 2+b
b = 2a - 2
# 3+a/3+b=2/3 (substitute b)
3 + a / 3 + 2a -2 = 2/3
3+a/1+2a=2/3 (cross multiply)
substitute a in b = 2a -2
b = 12.

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